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Finding the Third Proportional to 32,702.06 and 49,053.09

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Solution

The third proportional to 32,702.06 and 49,053.09 is: 73,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.06 : 49,053.09 = 49,053.09 : x
  2. Step 2: Convert to fraction form
    32,702.06/49,053.09 = 49,053.09/x
  3. Step 3: Cross multiply
    32,702.06x = 49,053.09 × 49,053.09
  4. Step 4: Simplify right side
    32,702.06x = 2,406,206,006.45
  5. Step 5: Solve for x
    x = 2,406,206,006.45/32,702.06
  6. Step 6: Final answer
    x = 73,579.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.